First Countable Continua and Proper Forcing
classification
🧮 math.GN
math.LO
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countablefirstforcingproperspacealephassumingcompact
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Assuming the Continuum Hypothesis, there is a compact first countable connected space of weight aleph_1 with no totally disconnected perfect subsets. Each such space, however, may be destroyed by some proper forcing order which does not add reals.
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